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k-DISTRIBUTIONS AND WEIGHTED-SUM-OF-GRAY-GASES-A HYBRID MODEL

Martin K. Denison
Advanced Combustion Engineering Research Center, Brigham Young University, Utah, USA

Brent W. Webb
Brigham Young University, Dept. of Mechanical Engineering, CTB435, Provo, UT 84602, USA

Abstract

The weighted-sum-of-gray-gases (WSGG) model is shown to be related to k-distributions resulting in a hybrid approach that draws on the strengths of the each model. The WSGG weights are related to the cumulative k-distributions through an integration of Planck's function over wave number weighted by the cumulative k-distributions. This allows a single quadrature over the absorption cross-section (k-space) of each arbitrarily large band to account for non-gray boundaries or particulates. Predictions from the hybrid model compare well with line-by-line benchmarks.

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